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Finding the Fourth Proportional to 186,976, 280,464 and 55,648

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Solution

The fourth proportional to 186,976, 280,464 and 55,648 is: 83,472

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,976 : 280,464 = 55,648 : x
  2. Step 2: Convert to fraction form
    186,976/280,464 = 55,648/x
  3. Step 3: Cross multiply
    186,976x = 280,464 × 55,648
  4. Step 4: Simplify right side
    186,976x = 15,607,260,672
  5. Step 5: Solve for x
    x = 15,607,260,672/186,976
  6. Step 6: Final answer
    x = 83,472

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.